Isomorphism of the Dihedral group

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Thread starter blahblah8724
Start date Jan 20, 2012
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Dihedral Group Isomorphism

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blahblah8724

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Jan 20, 2012

We're doing isomorphisms and I was just wondering, is the dihedral group [itex]D_{12}[/itex] isomorphic to the group of even permutations [itex]A_4[/itex]?

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micromass

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Jan 20, 2012

Let's find out. How many elements of order 2 are there in [itex]A_4[/itex] and [itex]D_{12}[/itex]??

Deveno

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Jan 20, 2012

OR...

D₁₂ contains 2 elements of order 6 (what are they?). does A₄ have any elements of order 6?

Isomorphism of the Dihedral group

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